LCM of 980, 360, 412, 234, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 360, 412, 234, 999 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 980, 360, 412, 234, 999. So, keep reading to learn more.
Given numbers are 980,360,412,234,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,360,412,234,999 is 2621815560.
Find LCM of 980,360,412,234,999 with Prime Factorization
| 2 | 980, 360, 412, 234, 999 |
| 2 | 490, 180, 206, 117, 999 |
| 3 | 245, 90, 103, 117, 999 |
| 3 | 245, 30, 103, 39, 333 |
| 5 | 245, 10, 103, 13, 111 |
| 49, 2, 103, 13, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 49 x 2 x 103 x 13 x 111 = 2621815560
Therefore, the lowest common multiple of 980,360,412,234,999 is 2621815560.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
980 x 360 x 412 x 234 x 999 = 33978729657600
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
412 : 1, 2, 4, 103, 206, 412
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,360,412,234,999, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
360:2x 2x 2x 3x 3x 5
412:2x 2x 103
234:2x 3x 3x 13
999:3x 3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 3x 3x 3x 5 = 12960
Therefore, the value for common factors is 12960.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 33978729657600/(1x12960)
LCM = 33978729657600/12960
LCM = 2621815560
Thus, we can understand that the LCM of 980,360,412,234,999 is 2621815560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 980, 360, 412, 234, 999
1. What is the LCM of 980, 360, 412, 234, 999?
Answer: LCM of 980, 360, 412, 234, 999 is 2621815560.
2. How to calculate the LCM of 980, 360, 412, 234, 999?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 980, 360, 412, 234, 999.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.